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Finding the Third Proportional to 145,543 and 218,855

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Solution

The third proportional to 145,543 and 218,855 is: 329,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,543 : 218,855 = 218,855 : x
  2. Step 2: Convert to fraction form
    145,543/218,855 = 218,855/x
  3. Step 3: Cross multiply
    145,543x = 218,855 × 218,855
  4. Step 4: Simplify right side
    145,543x = 47,897,511,025
  5. Step 5: Solve for x
    x = 47,897,511,025/145,543
  6. Step 6: Final answer
    x = 329,095.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.